Equilibrium interface solutions of a degenerate singular Cahn-Hilliard equation

被引：10
|
作者：
Witelski, TP [1 ]
机构：
[1] MIT, Dept Math, Cambridge, MA 02139 USA
来源：
APPLIED MATHEMATICS LETTERS | 1998年 / 11卷 / 05期
基金：
美国国家科学基金会;
关键词：
Cahn-Hilliard; degenerate diffusion; polymers; equilibrium solutions; phase plane;
D O I：
10.1016/S0893-9659(98)00092-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present an analysis of the equilibrium diffusive interfaces in a model for the interaction of layers of pure polymers. The discussion focuses on the important qualitative features of the solutions of the nonlinear singular Cahn-Hilliard equation with degenerate mobility for the Flory-Huggins-de Gennes free energy model. The spatial structure of possible equilibrium phase separated solutions are found. Using phase plane analysis, we; obtain heteroclinic and homoclinic degenerate weak compact-support solutions that are relevant to finite domain boundary value problems and localized impurities in infinite layers. (C) 1998 Elsevier Science Ltd. All rights reserved.
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页码：127 / 133
页数：7
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